Question

Write the next three rational numbers to complete the pattern:

`4/(-5), 8/(-10), 12/(-15), 16/(-20)`, ______, ______, ______.

Answer 1

`4/(-5), 8/(-10), 12/(-15), 16/(-20), underlinebb(20/(-25)), underlinebb(24/(-30)), underlinebb(28/(-35))`.

Explanation:

Given rational number is `4/(-5)`

So, the next three equivalent rational numbers are

`(4 xx 5)/(-5 xx 5) = 20/(-25), (4 xx 6)/(-5 xx 6) = 24/(-30)` and `(4 xx 7)/(-5 xx 7) = 28/(-35)`

Hence, the next equivalent numbers are `20/(-25), 24/(-30), 28/(-35)`.